(a) The chief justice may, with the senior justice's or judge's consent, assign the senior justice or judge to any state court.

(b) The assignment of a senior justice or judge shall be made by an order that designates the court to which the judge is assigned and the duration of the assignment. Promptly after the assignment of a senior justice or judge, the clerk of the supreme court in the grand division to which the assignment is made shall cause a certified copy of the order to be sent to the senior justice or judge and another certified copy to the presiding judge of the court to which the justice or judge is assigned.

(c) A senior justice or judge assigned as provided in this section has all the powers, duties and immunities while serving under the assignment of a regularly elected and qualified justice or judge of the court to which the senior justice or judge has been assigned. Without assignment, senior justices and judges may perform routine ministerial acts, including the solemnization of marriages and the administering of oaths, but shall not admit to bail any person accused of a crime.

(d) A senior justice or judge who has sat by designation and assignment on any court may, notwithstanding the expiration of the designation and assignment, decide or join in the decision and final disposition of all matters submitted to the justice or judge during the period of the assignment and may decide or join in the consideration and disposition of petitions for rehearing or further proceedings in the matters, including matters relating to cases on appeal.